Home
Class 12
MATHS
int (sqrtx+1/sqrtx) dx, (x ne 0)=...

`int (sqrtx+1/sqrtx) dx`, `(x ne 0)`=____

Text Solution

Verified by Experts

The correct Answer is:
`2/3 x sqrtx+2sqrtx`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise TRUE/FALSE QUESTIONS|10 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTONS|25 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|50 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

int (cossqrtx)/(sqrtx)dx

int1/(sqrtx(1-sqrtx)dx=

Knowledge Check

  • int(sqrtx+1/sqrtx)^2 dx=

    A
    `x^2/2 log x-2x +c`
    B
    `x^2/2 +log x+2x +c`
    C
    `x^2/2 - log x+2x+c`
    D
    `x^2/2 +logx+4x+c`

  • int(sqrtx)/(1+xsqrtx)dx-

    A
    `(3)/(2)tan^(-1)(sqrtx)+c`
    B
    `(3)/(2)logx+c`
    C
    `(2)/(3)log(1+xsqrtx)+c`
    D
    `(2)/(3)tan^(-1)(sqrtx)+c`

  • int(sec sqrtx)/(sqrtx)dx=

    A
    `2log(secx+tanx)+c`
    B
    `2log(sect+tant)+c`
    C
    `2log(sec sqrtx+tansqrtx)+c`
    D
    `2sec sqrtx.tanx+c`

    • Similar Questions

    Explore conceptually related problems

    int_2^3(x+sqrtx+1/sqrtx)dx=

    int_0^1e^sqrtx/sqrtxdx=

    int ((1+sqrtx)^2)/sqrtx dx=

    int(1-cossqrtx)/(sqrtx)dx=

    int(3x sqrtx +4 sqrtx+5) dx=

    Home
    Profile